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Finding the Fourth Proportional to 394.13, 591 and 120.16

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Solution

The fourth proportional to 394.13, 591 and 120.16 is: 180.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.13 : 591 = 120.16 : x
  2. Step 2: Convert to fraction form
    394.13/591 = 120.16/x
  3. Step 3: Cross multiply
    394.13x = 591 × 120.16
  4. Step 4: Simplify right side
    394.13x = 71,011.61
  5. Step 5: Solve for x
    x = 71,011.61/394.13
  6. Step 6: Final answer
    x = 180.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.